Using translation concepts, the image of C reflected across the line x = 3 would have the coordinates (4,-2).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The rule for a <u>reflection across the line x = 3</u> is given by:
(x,y) -> (3 + |x - 3| , y).
The coordinates of C are C(2,-2), hence:
(2,-2) -> (3 + |2 - 3| , -2) = (4,-2).
The image of C reflected across the line x = 3 would have the coordinates (4,-2).
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Answer:
Step-by-step explanation:


The value of RS in the line segment is 20
To solve for RS :
From the line segment attached :
The information given is :
RS = 3x - 16
ST = 4x - 8
RT = 60
RT = RS + ST
60 = 3x - 16 + 4x - 8
60 = 7x - 24
60 + 24 = 7x
84 = 7x
Divide both sides by 7
84/7 = x
x = 12
RS = 3x - 16
RS = 3(12) - 16
RS = 36 - 16
RS = 20
HENCE, RS = 20
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